Solve the multi-objective linear programming model using Duality the (Dual Model)

Abstract

In this research, we used the multi-objective linear programming model and a new method is followed to maximize the profits of the General Company for Textile and Leather Industries / Cotton Factory, where a new method was used to unify the type of conflicting objective function  of the model and this is done through the use of the Dual Model and finding the best solution for each objective function under the same constrain and from Then finding the average optimal solution for the multi - objective functions and building a linear model with one objective function  that achieves maximizing profits for the factory where the factory consists of several laboratories and the products of the laboratories were studied and the model was built accordingly, as the LINGO14.0 program was used, where the program was formulated by the researcher to reach the results.